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Simplifying Fractions Worksheet

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Simplifying Fractions Worksheet

Simplify each fraction by dividing the numerator and denominator by the same factor. Show your working where asked. A fraction is in its simplest form when its numerator and denominator have no common factor greater than 1.

Equivalent Fractions

1.Which fraction has the same value as 3/5?
  • 6/10
  • 6/15
  • 4/10
  • 9/10
2.Choose the fraction equivalent to 12/16 in simplest form.
  • 2/3
  • 3/4
  • 4/5
  • 6/8
3.Which fraction is equivalent to 5/10?
  • 1/2
  • 3/7
  • 2/5
  • 5/8
4.Write 6/9 in simplest form.

Finding Common Factors

5.The highest common factor of 18 and 30 is . Use it to simplify 18/30.
6.Simplify 14/35 by dividing the numerator and denominator by their highest common factor. State the factor and the simplified fraction.
7.Reduce 16/24 to its simplest form. Show the common factor you used.
8.Simplify 21/28. Show how you know the result cannot be reduced further.

Apply and Explain

9.Keira has used 15 of the 25 equal tiles in a mosaic. Write the part she has used as a fraction, then simplify it.
10.Match each fraction on the left with its simplest form on the right.
  • 10/25
  • 18/24
  • 12/30
  • 20/35
  • 25/30
  • 5/6
  • 4/7
  • 3/4
  • 2/5
  • 2/5
11.A container is 24/36 full of water. Simplify the fraction and explain what the numerator and denominator mean in your answer.

3 printable pages

  • Simplifying Fractions Worksheet, page 1 of 3: Equivalent Fractions, Finding Common Factors

    Page 1

  • Simplifying Fractions Worksheet, page 2 of 3: Apply and Explain

    Page 2

  • Simplifying Fractions Worksheet, page 3 of 3: 11. A container is 24/36 full of water. Simplify the fraction and explain what the…

    Page 3

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